Embedding partial steiner triple systems so that their automorphisms extend

Peter J. Cameron*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

It is shown that there is a function g on the natural numbers such that a partial Steiner triple system U on u points can be embedded in a Steiner triple system V on v points, in such a way that all automorphisms of U can be extended to V, for every admissible v satisfying v > g(u). We find exponential upper and lower bounds for g.

Original languageEnglish
Pages (from-to)466-470
Number of pages5
JournalJournal of Combinatorial Designs
Volume13
Issue number6
DOIs
Publication statusPublished - 1 Nov 2005

Keywords

  • Embedding automorphisms
  • Steiner triple system

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